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Simplify Each of the Following and Write as a Rational Number of the Form P Q : − 11 2 + 7 6 + − 5 8

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Question

Simplify each of the following and write as a rational number of the form \[\frac{p}{q}:\]\[\frac{- 11}{2} + \frac{7}{6} + \frac{- 5}{8}\]

Sum
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Solution

\[\frac{- 11}{2} + \frac{7}{6} + \frac{- 5}{8}\]
\[ = \frac{- 132}{24} + \frac{28}{24} + \frac{- 15}{24}\]
\[ = \frac{( - 132) + 28 + ( - 15)}{24}\]
\[ = \frac{- 132 + 28 - 15}{24}\]
\[ = \frac{- 119}{24}\]

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